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Simplifying 3x + -7 = 5 + -1(6x + 21) Reorder the terms: -7 + 3x = 5 + -1(6x + 21) Reorder the terms: -7 + 3x = 5 + -1(21 + 6x) -7 + 3x = 5 + (21 * -1 + 6x * -1) -7 + 3x = 5 + (-21 + -6x) Combine like terms: 5 + -21 = -16 -7 + 3x = -16 + -6x Solving -7 + 3x = -16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + 3x + 6x = -16 + -6x + 6x Combine like terms: 3x + 6x = 9x -7 + 9x = -16 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 9x = -16 + 0 -7 + 9x = -16 Add '7' to each side of the equation. -7 + 7 + 9x = -16 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = -16 + 7 9x = -16 + 7 Combine like terms: -16 + 7 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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